Synopsis
Modern Geometry is a comprehensive textbook written by Charles Godfrey and first published in 1908. The book covers a wide range of topics in geometry, including Euclidean geometry, non-Euclidean geometry, projective geometry, and analytical geometry. It is intended for students and teachers of mathematics and is suitable for use in high school and college-level courses.The book is divided into six parts, each of which covers a different aspect of geometry. Part I introduces the basic concepts of Euclidean geometry, including points, lines, and angles, and covers topics such as congruence, similarity, and the Pythagorean theorem. Part II explores non-Euclidean geometry, including hyperbolic and elliptic geometry, and discusses the implications of these geometries for the foundations of mathematics.Part III covers projective geometry, which involves the study of properties that are invariant under projective transformations. This section includes discussions of cross-ratios, harmonic ratios, and the principle of duality. Part IV introduces analytical geometry, which uses algebraic methods to study geometric objects. This section covers topics such as conic sections, curves and surfaces, and the geometry of three-dimensional space.Part V covers the geometry of transformation, which involves the study of geometric objects and their properties under various transformations such as translation, rotation, and reflection. This section includes discussions of symmetry, isometries, and the group theory of transformations. Finally, Part VI covers the geometry of higher dimensions, including the study of n-dimensional space, polytopes, and the geometry of non-Euclidean spaces.Throughout the book, Godfrey provides clear explanations of the concepts and theorems of geometry, and includes numerous examples and exercises to help students develop their understanding of the subject. The book also includes historical notes and biographical information about important mathematicians who contributed to the development of geometry. Overall, Modern Geometry is a valuable resource for anyone interested in the study of geometry and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Présentation de l'éditeur
This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
Présentation de l'éditeur
Originally published in 1908. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
